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Finding the Third Proportional to 1,556.30 and 3,264.05

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Solution

The third proportional to 1,556.30 and 3,264.05 is: 6,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.30 : 3,264.05 = 3,264.05 : x
  2. Step 2: Convert to fraction form
    1,556.30/3,264.05 = 3,264.05/x
  3. Step 3: Cross multiply
    1,556.30x = 3,264.05 × 3,264.05
  4. Step 4: Simplify right side
    1,556.30x = 10,654,002.00
  5. Step 5: Solve for x
    x = 10,654,002.00/1,556.30
  6. Step 6: Final answer
    x = 6,845.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.